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Question Number 92137 by hore last updated on 05/May/20

$$\int \frac{2x}{1+x}$$

Commented by john santu last updated on 05/May/20

$$\int \frac{2xdx}{x+1}=\int \frac{2(x+1)-2}{x+1}dx$$$$=\int 2-\frac{2}{x+1}dx$$$$=2x-2\ln \mid x-1\mid +\mathrm{c}$$

Commented by Rio Michael last updated on 07/May/20

$$\frac{2x}{1+x}=2-\frac{2}{x+1}\left[\mathrm{can}\mathrm{use}\mathrm{long}\mathrm{division}\right]$$$$\int \frac{2x}{1+x}dx=\int (2-\frac{2}{x+1})dx=2x-2\ln (x+1)+C$$$$$$

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